According to the graph, angles 7 and 3 are corresponding angles, which means they are equal.
[tex]m\angle7=m\angle3[/tex]Replacing the given expressions, we have
[tex]3x-10=2x+5[/tex]Now, we solve for x
[tex]\begin{gathered} 3x-2x=10+5 \\ x=15 \end{gathered}[/tex]Then, we use this value to find angle 7.
[tex]m\angle7=3x-10=3\cdot15-10=45-10=35[/tex]The diagram shows that angle 7 is equal to angle 1 because they are alternate exterior angles.